Find the cube root of: $175616$.

The correct option is A : $56$

On prime factorising $56$, we get

$175616=8\times 8\times 8\times 7\times 7\times 7$

$=8^3\times 7^3$

Then, cube root of $175616$ is:

$\sqrt[3]{3175616}=\sqrt[3]{38^3\times 7^3}=8\times 7=56$.

Therefore, option $A$ is correct.